Publication: On the number of solutions of the diophantine equation x2+2a . p b = y4
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Date
2015-01-01
Authors
Authors
Zhu, Huilin
Le, Maohua
Soydan, Gökhan
Journal Title
Journal ISSN
Volume Title
Publisher
Editura Acad Romane
Abstract
Let p be a fixed odd prime. In this paper, we study the integer solutions (x, y, a, b) of the equation x(2) + 2(a).p(b) = y(4), gcd(x, y) = 1, x > 0, y > 0, a >= 0, b >= 0, and we derive upper bounds for the number of such solutions.
Description
Keywords
Exponential diophantine equation, Lebesgue-nagell equation, Classification of solutions, Science & technology, Physical sciences, Mathematics